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arXiv · 0806.4583

Exact entanglement renormalization for string-net models

Robert Koenig·Ben W. Reichardt·Guifre Vidal
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Abstract

We construct an explicit renormalization group (RG) transformation for Levin and Wen's string-net models on a hexagonal lattice. The transformation leaves invariant the ground-state "fixed-point" wave function of the string-net condensed phase. Our construction also produces an exact representation of the wave function in terms of the multi-scale entanglement renormalization ansatz (MERA). This sets the stage for efficient numerical simulations of string-net models using MERA algorithms. It also provides an explicit quantum circuit to prepare the string-net ground-state wave function using a quantum computer.

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Robert Koenig, Ben W. Reichardt, Guifre Vidal. 2009-06-15. Exact entanglement renormalization for string-net models. https://doi.org/10.1103/physrevb.79.195123

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